{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:27:33Z","timestamp":1753882053664,"version":"3.41.2"},"reference-count":17,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"MUR through project PRIN","award":["2017SRNBRK QU-SHIP"],"award-info":[{"award-number":["2017SRNBRK QU-SHIP"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2022,6]]},"abstract":"<jats:p>Most literature on quantum collision models (CMs) usually considers periodic weak collisions featuring a fixed waiting time between two next collisions. Some works have yet addressed CMs with random waiting time and strong collisions (stochastic CMs). This short paper discusses how the open dynamics arising from these two types of models can be formally mapped with one another. This can be achieved for a given stochastic CM by constructing an associated periodic CM such that the waiting time randomness of the former is turned into the mixedness of the ancilla\u2019s initial state of the latter, introducing at the same time an additional state of the ancilla. Through this mapping, non-Markovian behaviour arising from a constrained number of stochatic collisions can be linked to initial ancilla\u2013ancilla correlations of the associated periodic CM.<\/jats:p>","DOI":"10.1142\/s1230161222500068","type":"journal-article","created":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T13:50:52Z","timestamp":1667829052000},"source":"Crossref","is-referenced-by-count":2,"title":["Stochastic versus Periodic Quantum Collision Models"],"prefix":"10.1142","volume":"29","author":[{"given":"Francesco","family":"Ciccarello","sequence":"first","affiliation":[{"name":"Universit\u00e0 degli Studi di Palermo, Dipartimento di Fisica e Chimica, Emilio Segr\u00e8, via Archirafi 36, I-90123 Palermo, Italy"},{"name":"NEST, Istituto Nanoscienze-CNR, Piazza S. Silvestro 12, 56127 Pisa, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,11,2]]},"reference":[{"key":"S1230161222500068BIB001","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/133\/60001"},{"key":"S1230161222500068BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2022.01.001"},{"key":"S1230161222500068BIB003","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.87.030101"},{"key":"S1230161222500068BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0219749914610115"},{"key":"S1230161222500068BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S123016121740011X"},{"key":"S1230161222500068BIB006","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/11\/113029"},{"key":"S1230161222500068BIB007","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.99.042103"},{"key":"S1230161222500068BIB008","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.012061"},{"key":"S1230161222500068BIB009","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-019-56847-4"},{"key":"S1230161222500068BIB010","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/abd57d"},{"key":"S1230161222500068BIB011","doi-asserted-by":"publisher","DOI":"10.1088\/2058-9565\/ac40f3"},{"key":"S1230161222500068BIB012","doi-asserted-by":"publisher","DOI":"10.3390\/e23121634"},{"key":"S1230161222500068BIB013","doi-asserted-by":"publisher","DOI":"10.1515\/qmetro-2017-0007"},{"key":"S1230161222500068BIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.043070"},{"key":"S1230161222500068BIB015","doi-asserted-by":"publisher","DOI":"10.1088\/2058-9565\/aaa39f"},{"key":"S1230161222500068BIB016","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198566724.001.0001","author":"Fox A. M.","year":"2006","journal-title":"Quantum optics: An Introduction"},{"key":"S1230161222500068BIB017","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.96.032111"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161222500068","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,30]],"date-time":"2023-11-30T10:12:23Z","timestamp":1701339143000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1230161222500068"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6]]},"references-count":17,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["10.1142\/S1230161222500068"],"URL":"https:\/\/doi.org\/10.1142\/s1230161222500068","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"type":"print","value":"1230-1612"},{"type":"electronic","value":"1793-7191"}],"subject":[],"published":{"date-parts":[[2022,6]]},"article-number":"2250006"}}